The coupled computational procedure of the induction heating, the thermal conduction, the thermal elasto-viscoplastic damage, and the phase transformation analysis has been developed for the induction hardening analysis of steel machine parts. The validity of the proposed computational procedure has been illustrated by conducting the induction hardening analysis of a circular bar and a notched circular bar.
Chaboche, J.L. and Rousselier, G. ( 1983). On the Plastic and Viscoplastic Constitutive Equations (Part 1: rules developed with internal variable concept), Journal of Pressure Vessel Technology, 105: 153-164.
2.
Chikazumi, S. ( 1991). Physics of Ferromagnetic Solid (Volume 1). Tokyo, Shokabo.
3.
Dunne, F.P.E. and Hayhurst, D.R. ( 1992). Continuum Damage Based Constitutive Equations for Copper Under High Temperature Creep and Cyclic Plasticity, Proceedings of Royal Society London A, 437: 545-566.
4.
Fuhrmann, J., Homberg, D. and Uhle, M. ( 1999). Numerical Simulation of Induction Hardening of Steel , International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 18(3): 482-493.
5.
Johnson, W.A. and Mehl, R.F. ( 1939). Reaction Kinetics in Processes of Nucleation and Growth , Transactions of the AIME, 135: 416-458.
6.
Ju, D.Y. ( 2000). Computer Predictions of Thermo-Mechanical Behavior and Residual Stresses During Induction Hardening of Notched Cylinder, Proc . of the Fifth European Conference on Residual Stresses , 347(3): 352-357.
7.
Kishino, T., Nagaki, S. and Inoue, T. ( 1979). On Transformation Kinetics, Heat Conduction and Elastic-plastic Stresses during Quenching of Steel, Materials , 28(312): 861-867.
8.
Lemaitre, J. and Chaboche J.L. ( 1990). Mechanics of Solid Materials, Cambridge , Cambridge University Press.
Miyachika, Y. ( 1998). Temperature and Stress During Induction Hardening Process of Smooth Axis, Transaction of the JSME (C), 64(625): 3623-3629.
11.
Pascal, R., Conraux, R. and Bergheau, J.M. ( 2004). A New Method for the Numerical Simulation of Induction Hardening Processes, Journal de Physique IV, 120: 337-345.
12.
Skrzypek, J. and Ganczarski, A. ( 1998). Modeling of Damage Effect on Heat Transfer in Time-Dependent Non-Homogeneous Solids, Journal of Thermal Stresses, 21(3): 205-231.
13.
Toi, Y. and Lee, J.-M. ( 2000). Three-Dimensional damage Analysis of Structural Members in Molten-Zinc Galvanization, Transaction of the JSME (A), 66(643): 618-625.
14.
Toi, Y. and Lee, J.-M. ( 2002). Thermal Elasto-Viscoplastic Damage Behavior of Structural Members in Hot-Dip Galvanization, International Journal of Damage Mechanics, 11(2): 171-185.
15.
Tsuboi, H. and Naito, T. ( 1995). Practical Method for Electro-Magnetic Analysis , Tokyo, Yokendo.
16.
Yuan, J., Kang, J., Rong, Y. and Sisson, R.D. ( 2003). FEM Modeling of Induction Hardening Processes in Steel , Journal of Material Engineering and Performance , 12(5): 589-596.